211220000122120 has 96 divisors (see below), whose sum is σ = 524719235093760. Its totient is φ = 76462845148800.

The previous prime is 211220000122069. The next prime is 211220000122139. The reversal of 211220000122120 is 21221000022112.

It is a happy number.

It is a super-2 number, since 2×211220000122120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211220000122094 and 211220000122103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96769326 + ... + 98927965.

It is an arithmetic number, because the mean of its divisors is an integer number (5465825365560).

Almost surely, 2^{211220000122120} is an apocalyptic number.

211220000122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220000122120 is an abundant number, since it is smaller than the sum of its proper divisors (313499234971640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211220000122120 is a wasteful number, since it uses less digits than its factorization.

211220000122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195697547 (or 195697532 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211220000122120 its reverse (21221000022112), we get a palindrome (232441000144232).

The spelling of 211220000122120 in words is "two hundred eleven trillion, two hundred twenty billion, one hundred twenty-two thousand, one hundred twenty".